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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 4000*80%*(1+X)*93%+4000*20% = 4000*80%*X*13%/(1+13%) .
    Question type: Equation
    Solution:Original question:
     4000 ×
80
100
(1 + X ) ×
93
100
+ 4000 ×
20
100
= 4000 ×
80
100
X ×
13
100
÷ (1 +
13
100
)
     Multiply both sides of the equation by:(1 +
13
100
)
     4000 ×
80
100
(1 + X ) ×
93
100
(1 +
13
100
) + 4000 ×
20
100
(1 +
13
100
) = 4000 ×
80
100
X ×
13
100
    Remove a bracket on the left of the equation::
     4000 ×
80
100
× 1 ×
93
100
(1 +
13
100
) + 4000 ×
80
100
X ×
93
100
(1 +
13
100
) + 4000 ×
20
100
= 4000 ×
80
100
X ×
13
100
    The equation is reduced to :
     2976(1 +
13
100
) + 2976 X (1 +
13
100
) + 800(1 +
13
100
) = 416 X
    Remove a bracket on the left of the equation:
     2976 × 1 + 2976 ×
13
100
+ 2976 X (1 +
13
100
) + 800(1 +
13
100
) = 416 X
    The equation is reduced to :
     2976 +
9672
25
+ 2976 X (1 +
13
100
) + 800(1 +
13
100
) = 416 X
    The equation is reduced to :
     
84072
25
+ 2976 X (1 +
13
100
) + 800(1 +
13
100
) = 416 X
    Remove a bracket on the left of the equation:
     
84072
25
+ 2976 X × 1 + 2976 X ×
13
100
+ 800(1 +
13
100
) = 416 X
    The equation is reduced to :
     
84072
25
+ 2976 X +
9672
25
X + 800(1 +
13
100
) = 416 X
    The equation is reduced to :
     
84072
25
+
84072
25
X + 800(1 +
13
100
) = 416 X
    Remove a bracket on the left of the equation:
     
84072
25
+
84072
25
X + 800 × 1 + 800 ×
13
100
= 416 X
    The equation is reduced to :
     
84072
25
+
84072
25
X + 800 + 104 = 416 X
    The equation is reduced to :
     
106672
25
+
84072
25
X = 416 X

    Transposition :
     
84072
25
X 416 X = -
106672
25

    Combine the items on the left of the equation:
     
73672
25
X = -
106672
25

    The coefficient of the unknown number is reduced to 1 :
      X = -
106672
25
÷
73672
25
        = -
106672
25
×
25
73672
        = - 13334 ×
1
9209

    We obtained :
      X = -
13334
9209
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 1.447931



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